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The next-to-next-to-leading order spin1-spin2 potential for an inspiralling binary, that is essential for accuracy to fourth post-Newtonian order, if both components in the binary are spinning rapidly, has been recently derived independently via the ADM Hamiltonian and the Effective Field Theory approaches, using different gauges and variables.
W. Tulczyjew, Equations of motion of rotating bodies in general relativity theory
1959
Earlier work this paper cites.
W. Tulczyjew, Motion of multipole particles in general relativity theory
1959
Earlier work this paper cites.
J. Steinhoff and G. Schäfer, Canonical formulation of self-gravitating spinning-object systems
1967
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura, and K. Hiida, Physically acceptable solution of Einstein’s equation for many-body system
1973
Earlier work this paper cites.
A. J. Hanson and T. Regge, The Relativistic Spherical Top
1974
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura, and K. Hiida, Coordinate Condition and Higher Order Gravitational Potential in Canonical Formalism
1974
Earlier work this paper cites.
T. Ohta, H. Okamura, K. Hiida, and T. Kimura, Higher order gravitational potential for many-body system
1974
Earlier work this paper cites.
R. Schattner, The center-of-mass in general relativity
1979
Earlier work this paper cites.
R. Schattner, The uniqueness of the center-of-mass in general relativity
1979
Earlier work this paper cites.
B. Barker and R. O’Connell, Acceleration-dependent Lagrangians and equations of motion
1980
Earlier work this paper cites.
G. Schäfer, Acceleration-dependent Lagrangians in general relativity
1984
Earlier work this paper cites.
T. Damour and G. Schäfer, Lagrangians for n point masses at the second post-Newtonian approximation of general relativity
1985
Earlier work this paper cites.
T. Damour and G. Schäfer, Higher Order Relativistic Periastron Advances and Binary Pulsars
1988
Earlier work this paper cites.
T. Damour and G. Schäfer, Redefinition of position variables and the reduction of higher order Lagrangians
1991
Earlier work this paper cites.
E. Poisson, Gravitational waves from inspiraling compact binaries: The Quadrupole moment term
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics
1999
Earlier work this paper cites.
H. Tagoshi, A. Ohashi, and B. J. Owen, Gravitational field and equations of motion of spinning compact binaries to 2.5 postNewtonian order
2001
Earlier work this paper cites.
V. C. de Andrade, L. Blanchet, and G. Faye, Third postNewtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic coordinate and ADM Hamiltonian formalisms
2001
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, Equivalence between the ADM-Hamiltonian and the harmonic coordinates approaches to the third postNewtonian dynamics of compact binaries
2002
Earlier work this paper cites.
E. Poisson, Absorption of mass and angular momentum by a black hole: Time-domain formalisms for gravitational perturbations, and the small-hole / slow-motion approximation
2004
Earlier work this paper cites.
G. Faye, L. Blanchet, and A. Buonanno, Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion
2006
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects
2006
Earlier work this paper cites.
R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR
2006
Cited alongside, same era.
R. A. Porto and I. Z. Rothstein, Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems
2006
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
J. Steinhoff, G. Schäfer, and S. Hergt, ADM canonical formalism for gravitating spinning objects
2008
2011
Later among the works it cites.
B. Kol, M. Levi, and M. Smolkin, Comparing space+time decompositions in the post-Newtonian limit
2011
Later among the works it cites.
2012
Later among the works it cites.
M. Levi, Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
2012
Later among the works it cites.
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